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Initial Spectral Behavior of a Scalar Field Transported by Turbulence

 

作者: Edward E. O'Brien,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1963)
卷期: Volume 6, issue 7  

页码: 1016-1020

 

ISSN:0031-9171

 

年代: 1963

 

DOI:10.1063/1.1706834

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Under the assumption that the scalar field and the velocity field which transports it are both isotropic and Gaussian the small‐time behavior of the scalar transfer function can be obtained for any initial spectral distribution of turbulent energy and scalar ``energy.'' Specific spectra are calculated in detail and comparisons are made with work on the dynamics of isotropic turbulent fields. The effect of the relative scale of the energy containing regions of the velocity and scalar spectra is clarified. In particular wrinkling of a large scale scalar ``blob'' in a small scale turbulence field and the reverse phenomenon of stretching of a typical scalar ``blob'' when the scalar field has a characteristic size somewhat smaller than that of the velocity field are made evident.

 

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